模糊离散事件系统的可诊断性
Diagnosability of Fuzzy Discrete Event Systems
摘要：
为了更有效地处理现实世界中的不确定性问题，近年来提出了{ \it模糊离散事件系统}（FDES），并发展了FDES的监督控制理论。鉴于故障诊断的重要性，本文提出了一种在故障诊断系统框架下进行故障诊断的方法。更具体地说：（1）给出了故障可诊断性的形式化定义，其中事件的可观测集和故障集是{ \it fuzzy}的，即每个事件都有一定的可观测度和不可观测度，并且每个事件都有不同的故障发生概率。(2)通过构造FDES的基于可观性的诊断器，我们研究了它的一些基本性质。特别是，我们提出了一个必要和充分条件的可诊断的FDES。(3)一些例子来说明FDES的可诊断性的应用。最后，提出了一些相关问题供进一步考虑。
英文摘要：
In order to more effectively cope with the real-world problems of vagueness, {\it fuzzy discrete event systems} (FDESs) were proposed recently, and the supervisory control theory of FDESs was developed. In view of the importance of failure diagnosis, in this paper, we present an approach of the failure diagnosis in the framework of FDESs. More specifically: (1) We formalize the definition of diagnosability for FDESs, in which the observable set and failure set of events are {\it fuzzy}, that is, each event has certain degree to be observable and unobservable, and, also, each event may possess different possibility of failure occurring. (2) Through the construction of observability-based diagnosers of FDESs, we investigate its some basic properties. In particular, we present a necessary and sufficient condition for diagnosability of FDESs. (3) Some examples serving to illuminate the applications of the diagnosability of FDESs are described. To conclude, some related issues are raised for further consideration.
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